Question

Please answer the attached question and chose from the provided options.

Answer 1

Answer:

Option A $-\frac{19}{74}+\frac{71}{74}i$

Step-by-step explanation:

we know that

To divide complex numbers, you must multiply by the conjugate.

we have

$\frac{-8+3i}{5+7i}$

To find the conjugate, change the sign between the two terms in the denominator

so

$\frac{-8+3i}{5+7i}(\frac{5-7i}{5-7i})=\frac{-40+56i+15i-21i^{2}}{25-49i^{2}} \\\\=\frac{-40+71i-21(-1)}{25-49(-1)} \\\\=\frac{-19+71i}{74}\\\\=-\frac{19}{74}+\frac{71}{74}i$